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Finding the Fourth Proportional to 1,523.15, 2,283.84 and 597.62

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Solution

The fourth proportional to 1,523.15, 2,283.84 and 597.62 is: 896.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.15 : 2,283.84 = 597.62 : x
  2. Step 2: Convert to fraction form
    1,523.15/2,283.84 = 597.62/x
  3. Step 3: Cross multiply
    1,523.15x = 2,283.84 × 597.62
  4. Step 4: Simplify right side
    1,523.15x = 1,364,874.17
  5. Step 5: Solve for x
    x = 1,364,874.17/1,523.15
  6. Step 6: Final answer
    x = 896.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.